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We study $SU(N_c)$ gauge theories with Dirac fermions in representations${\cal{R}}$ of nonzero $N$-ality, coupled to axions. These theories have anexact discrete chiral symmetry, which has a mixed 't Hooft anomaly with generalbaryon-color-flavor backgrounds, called the "BCF anomaly" in arXiv:1909.09027.The infrared theory also has an emergent $\mathbb Z_{N_c}^{(1)}$ $1$-formcenter symmetry. We show that the BCF anomaly is matched in the infrared byaxion domain walls. We argue that $\mathbb Z_{N_c}^{(1)}$ is spontaneouslybroken on axion domain walls, so that nonzero $N$-ality Wilson loops obey theperimeter law and probe quarks are deconfined on the walls. We give furthersupport to our conclusion by using a calculable small-circle compactificationto study the multi-scale structure of the axion domain walls and themicroscopic physics of deconfinement on their worldvolume.

Deconfinement on axion domain walls